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Light cone tensor network and time evolution

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arxiv 2201.08402 v3 pith:OS7EECOM submitted 2022-01-20 quant-ph

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keywords conelightnetworktensorcontractionmethodobservablesphys
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The transverse folding algorithm [Phys. Rev. Lett. 102, 240603] is a tensor network method to compute time-dependent local observables in out-of-equilibrium quantum spin chains that can sometimes overcome the limitations of matrix product states. We present a contraction strategy that makes use of the exact light cone structure of the tensor network representing the observables. The strategy can be combined with the hybrid truncation proposed for global quenches in [Phys. Rev. A 91, 032306], which significantly improves the efficiency of the method. We demonstrate the performance of this transverse light cone contraction also for transport coefficients, and discuss how it can be extended to other dynamical quantities.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Temporal Entanglement from Holographic Entanglement Entropy

    hep-th 2025-07 conditional novelty 6.0 of 10

    Holographic timelike entanglement entropy is defined by analytically continuing all candidate extremal surfaces through the light cone and selecting the one with smallest real part of the area.

  2. Tensor-network toolbox for probing dynamics of non-Abelian gauge theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...

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